Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{57}{\sqrt{8}}\)
2. \(\frac{32}{\sqrt{7}}\)
3. \(\frac{8}{\sqrt{7}}\)
4. \(\frac{60}{\sqrt{13}}\)
5. \(\frac{46}{\sqrt{19}}\)
6. \(\frac{11}{\sqrt{2}}\)
7. \(\frac{39}{\sqrt{7}}\)
8. \(\frac{24}{\sqrt{5}}\)
9. \(\frac{13}{\sqrt{15}}\)
10. \(\frac{47}{\sqrt{3}}\)
11. \(\frac{26}{\sqrt{6}}\)
12. \(\frac{14}{\sqrt{11}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{57}{\sqrt{8}}=\frac{57\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{57\cdot\sqrt{8}}{8}\)
2. \(\frac{32}{\sqrt{7}}=\frac{32\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{32\cdot\sqrt{7}}{7}\)
3. \(\frac{8}{\sqrt{7}}=\frac{8\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{8\cdot\sqrt{7}}{7}\)
4. \(\frac{60}{\sqrt{13}}=\frac{60\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{60\cdot\sqrt{13}}{13}\)
5. \(\frac{46}{\sqrt{19}}=\frac{46\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{46\cdot\sqrt{19}}{19}\)
6. \(\frac{11}{\sqrt{2}}=\frac{11\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{11\cdot\sqrt{2}}{2}\)
7. \(\frac{39}{\sqrt{7}}=\frac{39\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{39\cdot\sqrt{7}}{7}\)
8. \(\frac{24}{\sqrt{5}}=\frac{24\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{24\cdot\sqrt{5}}{5}\)
9. \(\frac{13}{\sqrt{15}}=\frac{13\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{13\cdot\sqrt{15}}{15}\)
10. \(\frac{47}{\sqrt{3}}=\frac{47\cdot \color{red}{\sqrt{3}} }{\sqrt{3}\cdot \color{red}{\sqrt{3}} }=\frac{47\cdot\sqrt{3}}{3}\)
11. \(\frac{26}{\sqrt{6}}=\frac{26\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{26\cdot\sqrt{6}}{6}=\frac{13\cdot\sqrt{6}}{3}\)
12. \(\frac{14}{\sqrt{11}}=\frac{14\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{14\cdot\sqrt{11}}{11}\)